Dynamics of non-autonomous fractional reaction-diffusion equations on \(\mathbb{R}^N\) driven by multiplicative noise
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Publication:2033879
DOI10.3934/dcdsb.2020376zbMath1466.35054OpenAlexW3116366976MaRDI QIDQ2033879
Ji Li, Mingji Zhang, Yong Qin Xie, Kai Xuan Zhu
Publication date: 18 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020376
continuityhigher-order integrabilitypullback random attractorsfractional stochastic reaction-diffusion equations
Attractors (35B41) Reaction-diffusion equations (35K57) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order parabolic equations (35K15)
Cites Work
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- Attractors for infinite-dimensional non-autonomous dynamical systems
- Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
- Hitchhiker's guide to the fractional Sobolev spaces
- Regularity of pullback random attractors for stochastic FitzHugh-Nagumo system on unbounded domains
- The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
- Asymptotic behavior of stochastic fractional power dissipative equations on \(\mathbb{R}^n\)
- Dynamics of the 3D fractional Ginzburg-Landau equation with multiplicative noise on an unbounded domain
- Space-time fractional Schrödinger equation with time-independent potentials
- Non-autonomous and random attractors for delay random semilinear equations without uniqueness
- Pullback attractors for stochastic heat equations in materials with memory
- Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equations
- Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
- Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains
- Criteria for strong and weak random attractors
- Hausdorff dimension of invariant sets for random dynamical systems
- Attractors for random dynamical systems
- Infinite-dimensional dynamical systems in mechanics and physics.
- Random attractors
- Fractional quantum mechanics and Lévy path integrals
- Monotone random systems theory and applications
- Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise
- Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\)
- Minimal random attractors
- Random attractors for non-autonomous fractional stochastic parabolic equations on unbounded domains
- Invariant forward attractors of non-autonomous random dynamical systems
- Attractors for reaction-diffusion equations in unbounded domains
- Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
- Chaos, fractional kinetics, and anomalous transport
- Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing
- Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
- Dynamics for a stochastic reaction-diffusion equation with additive noise
- Attractors of non-autonomous stochastic lattice systems in weighted spaces
- Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations
- Random attractors for stochastic reaction-diffusion equations on unbounded domains
- Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation
- One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation
- Dynamics for a non-autonomous reaction diffusion model with the fractional diffusion
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- Fractal first-order partial differential equations
- Global weak solutions of the fractional Landau-Lifshitz-Maxwell equation
- Well-posedness of fractional Ginzburg–Landau equation in Sobolev spaces
- Stochastic partial differential equations with additive noise on time-varying domains
- Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
- The Global Random Attractor for a Class of Stochastic Porous Media Equations
- Random Point Attractors Versus Random Set Attractors
- On the structure of attractors and invariant measures for a class of monotone random systems
- RANDOM ATTRACTORS OF STOCHASTIC REACTION–DIFFUSION EQUATIONS ON VARIABLE DOMAINS
- Some physical applications of fractional Schrödinger equation
- Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
- Fractional Quantum Mechanics
- Time fractional Schrödinger equation
- Fractional kinetic equations: solutions and applications
- Flattening, squeezing and the existence of random attractors
- ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
- Weak mixing and anomalous kinetics along filamented surfaces
